Exercise 1.1 Full Solutions | Functions & Graphs | Class 12 Math | FBISE | NBF

Exercise 1.1 Full Solutions | FUNCTIONS & GRAPHS| Class 12 Math | Federal Board| National book foundation | Domain & Range #FederalBoard #ModelTownHumak #EducationalChannel #siranjumteaches #nationalbookfoundation This video provides complete solutions to Exercise 1.1 – Functions and Graphs from Class 12 Mathematics (FBISE | NBF). It covers domain and range of functions, one-to-one, onto, into functions, types of functions, and inverse function properties. All questions are solved step-by-step according to Federal Board guidelines. 📘 Chapter 1: Functions & Graphs 🎓 Board: FBISE | NBF | Class 12 🎯 Topic: Exercise 1.1 (Full Solutions) 00:00:00 – Introduction to domain and range of a function – Definitions and explanation 00:05:23 – Q1(i): Find the domain of the function 00:08:42 – Q1(ii): Find the domain of the function 00:10:33 – Q1(iii): Find the domain of the function 00:12:00 – Q1(iv): Find the domain of the function 00:13:10 – Q1(v): Find the domain of the function 00:15:00 – Q1(vi): Find the domain of the function 00:17:36 – Q2(i): Find domain and range of the function 00:19:19 – Q2(ii): Find domain and range of the function 00:21:59 – Q2(iii): Find domain and range of the function 00:25:37 – Q2(iv): Find domain and range of the function 00:30:26 – Q2(v): Find domain and range of the function 00:34:33 – Q2(vi): Find domain and range of the function 00:37:24 – Q2(vii): Find domain and range of the function 00:38:46 – Q2(viii): Find domain and range of the function 00:41:10 – Q2(ix): Find domain and range of the function 00:44:53 – Q2(x): Find domain and range of the function 00:47:20 – Q2(xi): Find domain and range of the function 00:49:48 – Q2(xii): Find domain and range of the function 00:51:58 – Q3: f = {(0, p), (1, q), (2, r), (3, s)}; A = {0, 1, 2}, B = {p, q, r, s} – Check if the function is one-to-one, onto, or into 01:01:29 – Q4: f = {(2, b), (3, c), (4, e), (5, e)}; A = {2, 3, 4, 5}, B = {b, c, d, e} – Check one-to-one, onto, or into 01:03:30 – Q5(i): Check whether the function is one-to-one 01:05:19 – Q5(ii): Check whether the function is one-to-one 01:07:10 – Q5(iii): Check whether the function is one-to-one 01:08:29 – Q6: Identify type of function g(x) = 2x² + 3x + 1, given domain {0, 1, 2, 3} and range {1, 6, 15, 28, 35} 01:11:31 – Q7: Determine the type of function h(x) = 2x + 1 defined from R → R 01:15:38 – Q8: Prove f(x) is bijective where f: A → B, A = R – {3}, B = R – {1} 01:22:11 – Q9(i): Find domain and range of inverse function; prove f(f⁻¹(x)) = f⁻¹(f(x)) 01:28:52 – Q9(ii): Find domain and range of inverse function; prove f(f⁻¹(x)) = f⁻¹(f(x)) 01:35:42 – Q9(iii): Find domain and range of inverse function; prove f(f⁻¹(x)) = f⁻¹(f(x)) 01:42:32 – Q9(iv): Find domain and range of inverse function; prove f(f⁻¹(x)) = f⁻¹(f(x)) 01:48:57 – Q9(v): Find domain and range of inverse function; prove f(f⁻¹(x)) = f⁻¹(f(x)) 01:53:39 – Q9(vi): Find domain and range of inverse function; prove f(f⁻¹(x)) = f⁻¹(f(x)) #Class12Math #FunctionsAndGraphs #Exercise1_1 #FBISE #NBF #MathSolutions #DomainAndRange #InverseFunctions #TypesOfFunctions #OneToOne #OntoFunctions #PakistaniStudents